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Finding the Third Proportional to 127,510,435,156 and 279,041,041,256

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Solution

The third proportional to 127,510,435,156 and 279,041,041,256 is: 610,647,298,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,510,435,156 : 279,041,041,256 = 279,041,041,256 : x
  2. Step 2: Convert to fraction form
    127,510,435,156/279,041,041,256 = 279,041,041,256/x
  3. Step 3: Cross multiply
    127,510,435,156x = 279,041,041,256 × 279,041,041,256
  4. Step 4: Simplify right side
    127,510,435,156x = 77,863,902,705,232,696,573,952
  5. Step 5: Solve for x
    x = 77,863,902,705,232,696,573,952/127,510,435,156
  6. Step 6: Final answer
    x = 610,647,298,081.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.